Add 12/27 and 36/42
12/27 + 36/42 is 82/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
12/27 = 12 × 14/27 × 14 = 168/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
36/42 = 36 × 9/42 × 9 = 324/378 - Add the two like fractions:
168/378 + 324/378 = 168 + 324/378 = 492/378 - 492/378 simplified gives 82/63
- So, 12/27 + 36/42 = 82/63
In mixed form: 119/63
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